Two identical blocks rest on identical horizontal tables

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

Two identical blocks rest on identical horizontal tables. For block A, the coefficient of static friction is μs,A=0.60\mu_{s,A}=0.60. For block B it is μs,B=0.30\mu_{s,B}=0.30. No other forces act horizontally. Which statement correctly compares the graphs of static friction magnitude Ff,sF_{f,s} versus applied horizontal force FappF_{\text{app}} for the two blocks? (a) Block A’s graph has a steeper initial slope than block B’s because μs,A\mu_{s,A} is larger. (b) Neither graph shows a region of slope 1; both begin flat until FappF_{\text{app}} equals μsFn\mu_s F_n. (c) Both graphs start as lines of slope 1, but block A’s graph reaches its maximum at a larger FappF_{\text{app}} than block B’s. (d) Block B’s graph reaches a larger maximum static friction because its μs\mu_s value produces less slip.

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